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34384302 = 23217313359
BaseRepresentation
bin1000001100101…
…0100110101110
32101200220101200
42003022212232
532300244202
63224550330
7565155531
oct203124656
971626350
1034384302
1118455487
12b6223a6
13717b754
1447d0a18
153042e1c
hex20ca9ae

34384302 has 48 divisors (see below), whose sum is σ = 79354080. Its totient is φ = 10722816.

The previous prime is 34384279. The next prime is 34384303. The reversal of 34384302 is 20348343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34384303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95599 + ... + 95957.

It is an arithmetic number, because the mean of its divisors is an integer number (1653210).

Almost surely, 234384302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34384302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39677040).

34384302 is an abundant number, since it is smaller than the sum of its proper divisors (44969778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34384302 is a wasteful number, since it uses less digits than its factorization.

34384302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34384302 is about 5863.8129233460. The cubic root of 34384302 is about 325.1771877990.

The spelling of 34384302 in words is "thirty-four million, three hundred eighty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 313 359 626 718 939 1077 1878 2154 2817 3231 5321 5634 6103 6462 10642 12206 15963 18309 31926 36618 47889 54927 95778 109854 112367 224734 337101 674202 1011303 1910239 2022606 3820478 5730717 11461434 17192151 34384302